Off the top of my head ...
25+ gal boil kettle.
15+ gal hot liquor tank.
At least one pump.
At those volumes, you can't lift stuff. I do 10 gallon batches on occasion and I really shouldn't be lifting by myself.
For 10 gallon batches, I use a morebeer 15 gallon boil kettle and a 10 gallon polarware hot liquor tank. I use a single blichman burner. I use a little giant pump, march brand seems to be the standard.
For cooling, you may want to look into a plate chiller. Either the blichman or duda diesel will work fine.
Mash tun really depends on what gravity you typically brew. The coleman extreme is great, but not sure if they make one large enough for a 15 gallon higher gravity beer.